O-LevelAdditional MathematicsFunctions4037/12 · May/June 2016 · Q14 Marks
The universal set & is the set of real numbers and sets X, Y and Z are such that X= {integer multiples of 5}, Y = {integer multiples of 10}, Z = {π, √2, e}.
- (a)Use set notation to complete the two statements below. Y ................... X Y ∩ Z = ...................[2]
- (b)On each of the Venn diagrams below, shade the region indicated. E A B C (A'∩B) UC E A B C A'∩(BUC)[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] Y⊂X or Y ⊆ X only
- [1] Y∩Z = Ø or { } only
- [1] (i) B1 (for correct shading of (A'∩B) UC)
- [1] (ii) B1 (for correct shading of A'∩(BUC))
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